2z-9=3z-7

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Solution for 2z-9=3z-7 equation:


Simplifying
2z + -9 = 3z + -7

Reorder the terms:
-9 + 2z = 3z + -7

Reorder the terms:
-9 + 2z = -7 + 3z

Solving
-9 + 2z = -7 + 3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-3z' to each side of the equation.
-9 + 2z + -3z = -7 + 3z + -3z

Combine like terms: 2z + -3z = -1z
-9 + -1z = -7 + 3z + -3z

Combine like terms: 3z + -3z = 0
-9 + -1z = -7 + 0
-9 + -1z = -7

Add '9' to each side of the equation.
-9 + 9 + -1z = -7 + 9

Combine like terms: -9 + 9 = 0
0 + -1z = -7 + 9
-1z = -7 + 9

Combine like terms: -7 + 9 = 2
-1z = 2

Divide each side by '-1'.
z = -2

Simplifying
z = -2

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